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Implicit Functions

Implicit Functions
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2017-11-02 23:21
FunctionCoordinate GeometryOptimization
This example demonstrates the graph of an implicit function. An implicit function is one where the relationship between variables cannot be directly expressed as y=f(x), but is instead given by an equation F(x,y)=0. Using GeoGebra commands like Point, Tangent, and Textfield, the graph of the implicit function can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(c) → P
  2. Tangent(P, c) → f,
  3. Textfield(c) → InputBox1

AI Drawing Prompt Reference

Draw the graph of an implicit function, such as x^2 + y^2 - 1 = 0. First, create a point P, then draw the tangent line at point P. Finally, add a text input box to enter the equation of the implicit function.
The prompt above was compiled from the original drawing commands and is for reference only.